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# Uni Admission Maths test help?

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1. Hi, I've been trying to prepare for uni maths admission tests but half the content are topics that I haven't even covered or heard about in my A level syllabus. As a result I really need some urgent help, please post your method too, thank you.
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2. For 8. Consider . This is not a strictly divisible by in this form . However let us assume , for , then our expression is which is divisible by 6. Hope this helps. I am not willing to provide solutions to all the problems but if you need any hints message me.

I assume you are familiar with the notation used. If not just say.
3. Jas1947 A hint for question 3. What does squaring do and what can result from it. i.e.
4. (Original post by Cryptokyo)
For 8. Consider . This is not a strictly divisible by in this form . However let us assume , for , then our expression is which is divisible by 6. Hope this helps. I am not willing to provide solutions to all the problems but if you need any hints message me.

I assume you are familiar with the notation used. If not just say.
I got to the part where 4n+6 but couldn't get any further, I understand that now. Thank you
5. (Original post by Jas1947)
I got to the part where 4n+6 but couldn't get any further, I understand that now. Thank you
For 5. Take the log of both sides i.e.
6. (Original post by Cryptokyo)
Jas1947 A hint for question 3. What does squaring do and what can result from it. i.e.
Oh I see, x cannot equal -4 because you cannot square root a negative
7. (Original post by Cryptokyo)
For 8. Consider . This is not a strictly divisible by in this form . However let us assume , for , then our expression is which is divisible by 6. Hope this helps. I am not willing to provide solutions to all the problems but if you need any hints message me.

I assume you are familiar with the notation used. If not just say.
What is the symbol next to the n called?
8. (Original post by Jas1947)
Oh I see, x cannot equal -4 because you cannot square root a negative
You are half correct. You identified the incorrect solution but for the wrong reason. The reason is the square root function is only the positive answer as a function can only have a one-to-one or many-to-one mapping. i.e.
9. (Original post by Dynamic_Vicz)
What is the symbol next to the n called?
I am not sure of its name but it means "for all". In LaTeX you would write \forall.

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